Multi-valued vortex solutions to the Schrödinger equation and radiation
Mark Davidson
Abstract:This paper addresses the single-valued requirement for quantum wave functions when they are analytically continued in the spatial coordinates. This is particularly relevant for de Broglie-Bohm, hydrodynamic, or stochastic models of quantum mechanics where the physical basis for singlevaluedness has been questioned. It first constructs a large class of multivalued wave functions based on knotted vortex filaments familiar in fluid mechanics, and then it argues that for free particles, these systems will likely r… Show more
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